On the representation dimension of some classes of algebras

Autores
Ulhoa Coelho, Flavio Ulhoa; Platzeck, Maria Ines
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225]; and (b) Trivial extensions of iterated tilted algebras.
Fil: Ulhoa Coelho, Flavio Ulhoa. Universidade de Sao Paulo; Brasil
Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
ARTIN ALGEBRAS
REPRESENTATION DIMENSION
TRIVIAL EXTENSIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/96026
Acceder
id CONICETDig_e7174b1782a737c977231f784b0935b7
oai_identifier_str oai:ri.conicet.gov.ar:11336/96026
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the representation dimension of some classes of algebrasUlhoa Coelho, Flavio UlhoaPlatzeck, Maria InesARTIN ALGEBRASREPRESENTATION DIMENSIONTRIVIAL EXTENSIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225]; and (b) Trivial extensions of iterated tilted algebras.Fil: Ulhoa Coelho, Flavio Ulhoa. Universidade de Sao Paulo; BrasilFil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaAcademic Press Inc Elsevier Science2004-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/96026Ulhoa Coelho, Flavio Ulhoa; Platzeck, Maria Ines; On the representation dimension of some classes of algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 275; 2; 5-2004; 615-6280021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2003.09.022info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869303006653info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:56:05Zoai:ri.conicet.gov.ar:11336/96026instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:56:05.793CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the representation dimension of some classes of algebras
title On the representation dimension of some classes of algebras
spellingShingle On the representation dimension of some classes of algebras
Ulhoa Coelho, Flavio Ulhoa
ARTIN ALGEBRAS
REPRESENTATION DIMENSION
TRIVIAL EXTENSIONS
title_short On the representation dimension of some classes of algebras
title_full On the representation dimension of some classes of algebras
title_fullStr On the representation dimension of some classes of algebras
title_full_unstemmed On the representation dimension of some classes of algebras
title_sort On the representation dimension of some classes of algebras
dc.creator.none.fl_str_mv Ulhoa Coelho, Flavio Ulhoa
Platzeck, Maria Ines
author Ulhoa Coelho, Flavio Ulhoa
author_facet Ulhoa Coelho, Flavio Ulhoa
Platzeck, Maria Ines
author_role author
author2 Platzeck, Maria Ines
author2_role author
dc.subject.none.fl_str_mv ARTIN ALGEBRAS
REPRESENTATION DIMENSION
TRIVIAL EXTENSIONS
topic ARTIN ALGEBRAS
REPRESENTATION DIMENSION
TRIVIAL EXTENSIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225]; and (b) Trivial extensions of iterated tilted algebras.
Fil: Ulhoa Coelho, Flavio Ulhoa. Universidade de Sao Paulo; Brasil
Fil: Platzeck, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225]; and (b) Trivial extensions of iterated tilted algebras.
publishDate 2004
dc.date.none.fl_str_mv 2004-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/96026
Ulhoa Coelho, Flavio Ulhoa; Platzeck, Maria Ines; On the representation dimension of some classes of algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 275; 2; 5-2004; 615-628
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/96026
identifier_str_mv Ulhoa Coelho, Flavio Ulhoa; Platzeck, Maria Ines; On the representation dimension of some classes of algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 275; 2; 5-2004; 615-628
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2003.09.022
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869303006653
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613687365599232
score 13.070432

Publicaciones similares